Question 9 (Mandatory) (1 point) ✓ Saved Given the function y=2x^(3)-3x^(2)-5x+1 , which finite differences will be equal (or constant)? a) first differences b) second differences c) third differences d) sixth differences Question 10 (Mandatory) (1 point) ✓ Saved Given the function y=4x^(3)-11 , the third differences will all equal a) 24 b) 12

<p></p><br /><p>1. For the function \(y = 2x^3 - 3x^2 - 5x + 1\):</p><br /><p>First differences: -6, 0, 18, 48, 90, 144</p><br /><p>Second differences: 6, 18, 30, 42, 54</p><br /><p>Third differences: 12, 12, 12, 12</p><br /><p>From the above, we can see that the third differences are constant, which means the answer for the first question is option c (third differences).</p><br /><p>2. For the function \(y = 4x^3 - 11\), the third differences are all 24. Hence, the answer for the second question is option a (24).</p>